Template:Graph families defined by their automorphisms
Revision as of 21:58, 30 July 2013 by imported>Addbot (Bot: Migrating interwiki links, now provided by Wikidata on d:q14347196)
| Graph families defined by their automorphisms | ||||
| distance-transitive | <math>\rightarrow</math> | distance-regular | <math>\leftarrow</math> | strongly regular |
| <math>\downarrow</math> | ||||
| symmetric (arc-transitive) | <math>\leftarrow</math> | t-transitive, t ≥ 2 | ||
| <math>\downarrow</math>(if connected) | ||||
| vertex- and edge-transitive | <math>\rightarrow</math> | edge-transitive and regular | <math>\rightarrow</math> | edge-transitive |
| <math>\downarrow</math> | <math>\downarrow</math> | <math>\downarrow</math> | ||
| vertex-transitive | <math>\rightarrow</math> | regular | <math>\rightarrow</math> | (if bipartite) biregular |
| <math>\uparrow</math> | ||||
| Cayley graph | skew-symmetric | asymmetric | ||